Finance Questions & Answers

7. Un especulador compra una parcela rectangular de \( 62,50 \mathrm{~m} \). de largo y \( 23,80 \mathrm{~m} \). de ancho a \( 45,50 € / \mathrm{m}^{2} \), y un año después vende a \( 59,80 € / \mathrm{m}^{2} \). Si durante este tiempo le ha ocasionado unos gastos de \( 5327,46 € \), ¿qué ganancia obtiene del negocio?

Suppose that \( \$ 88,000 \) is invested at \( 3 \frac{1}{2} \% \) interest, compounded quarterly. a) Find the function for the amount to which the investment grows after \( t \) years. b) Find the amount of money in the account at \( t=0,3,5 \), and 10 years. a) The function for the amount to which the investment grows after \( t \) years is \( A(t)=88000(1.00875)^{4 t} \). (Simplify your answer. Type an expression using \( t \) as the variable.) b) Find the amount of money in the account at \( t=0,3,5 \), and 10 years. The amount of money in the account at \( t=0 \) years is \( \$ 88,000 \). (Round to the nearest dollar as needed.) The amount of money in the account at \( t=3 \) years is \( \$ 97,698 \). (Round to the nearest dollar as needed.) The amount of money in the account at \( t=5 \) years is \( \$ \square \). (Round to the nearest dollar as needed.)

Calculators were purchased at \( \$ 85 \) per dozen and sold at \( \$ 25 \) for three calculators. What is the profit on six dozen calculators?

2.4 Calculate the amount that will be in the bank after 5 years if R4700 invested at 5\% p.a simple interest

Suppose that \( \$ 3000 \) is deposited at \( 4 \% \) compounded quarterly. (a) How much money will be in the account at the end of 6 years? (Assume no withdrawals are made.) (b) How long will it take for the account to grow to \( \$ 4000 \) ?

Review \( K<\begin{array}{l}\text { How much money must be deposited today to become } \$ 2500 \text { in } 40 \text { years at } 5.5 \% \\ \text { compounded continuously? }\end{array} \) (Round to the nearest cent as needed.)

5. ABC for Life needs to have their annual statements audited. They are quoted R8 \( 500+14 \% \) VAT by Audits Inc. How much will ABC for Life have to pay Audits Inc. in total?

4.1 A development company borrows R150 000000 from a bank to build a new security housing complex. The bank charges interest of \( 7 \% \) p.a. simple interest. 4.1.1 \( \begin{array}{l}\text { Calculate the total amount the company will have to pay back on the } \\ \text { loan in } 5 \text { years. }\end{array} \) 4.1.2 How much interest will the company have to pay the bank?

\( 1.1 \begin{array}{l}\begin{array}{l}\text { A house in East London was for sale at a price of R2 } 578 \text { 799,00. A deposit of } \\ \text { R386 } 819,85 \text { was required and the balance payable in equal monthly instalments for } \\ 20 \text { years. }\end{array} \\ \begin{array}{ll}1.1 .1 & \text { Write the sale price of the house in words. } \\ 1.1 .2 & \text { Express the deposit amount as a percentage of the sale price. }\end{array}\end{array} . \begin{array}{l}\text { (2) }\end{array} \)

1.1 \( \begin{array}{l}\text { Moses earns a gross salary of R10 } 500 \text { per month. The basic monthly expenses used } \\ \text { from the income are as follows: } \\ \text { Housing expense } 21 \% \text {; Food } 36 \% \text {, Transport } 10 \% \text {; Cellphone bills } 1,9 \% \text {. The rest is } \\ \text { for savings. } \\ \text { Use the above information to answer the following questions. } \\ \text { 1.1.1 Calculate the total gross salary per annum. } \\ \text { 1.1.2 Determine the amount of the monthly food expense. } \\ \text { 1.1.3 Write down the ratio of the housing percentage to the food percentage in the (2) } \\ \text { 1.1.4 Calculate Moses's percentage for savings from his salary. }\end{array} \) (3)